This is inspired by the Trump Administration NDAs, but not about them in a literal sense, since those NDAs are apparently unenforceable by virtue of the signatories being Federal employees.
But suppose a private business had required its employees to sign NDAs, and as the Trump Administration did, refuse to give the employees a copy of the NDA they’d signed?
ISTM there’s a fundamental problem here: if they are denied a record of what they’ve signed, the other party - their employer - has denied them the means of abiding by the terms of the agreement. After all, if you don’t know the specifics of the agreement, how can you know whether or not a given disclosure is or is not allowed by the agreement?
Maybe ignorance of the law is no excuse, but ignorance of the terms of an agreement you aren’t allowed to have a copy of - that would pretty much come with the territory.
Since IANAL, I’m curious to see what the board’s legal eagles think of this.